The region R in the first quadrant is bounded by y 4 sin z y 4 z 2 and y 3x 1 and contains the point 2 4 The area of R is area The volume of the solid generated by rotating R about the x axis is volume The volume of the solid generated by rotating R about the y axis is volume The volume of the solid with R as its base and square cross sections perpendicular to the 2 axis and to the xy plane is volume